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Finding the Third Proportional to 19,983 and 43,134

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Solution

The third proportional to 19,983 and 43,134 is: 93,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983 : 43,134 = 43,134 : x
  2. Step 2: Convert to fraction form
    19,983/43,134 = 43,134/x
  3. Step 3: Cross multiply
    19,983x = 43,134 × 43,134
  4. Step 4: Simplify right side
    19,983x = 1,860,541,956
  5. Step 5: Solve for x
    x = 1,860,541,956/19,983
  6. Step 6: Final answer
    x = 93,106.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.